NOTIZIARIO Neutroni e Luce di Sincrotrone - Issue 2 n.1, 1997
Luce di sincrotrone: generazione e...
Transcript of Luce di sincrotrone: generazione e...
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Luce di sincrotrone: generazione e proprietà
Giorgio MargaritondoVice-président pour les affaires académiques
Ecole Polytechnnique Fédérale de Lausanne (EPFL)
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Programma:• Come costruire un’ottima sorgente di
raggi x utilizzando la relatività di Einstein• Alcuni esempi di applicazioni • Raggi x coerenti: una rivoluzione nella
radiologia• Dai sincrotroni ai laser a elettroni liberi e
al loro uso• Il futuro: nuove sorgenti, laser a raggi x
SASE
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From ancient fires to synchrotrons and FEL’s, the same problems:
A fire is not very effective in "illuminating" a specific target: its emitted power is spread in all directions
A torchlight is much more effective: it is a small-size source with emission concentrated within a narrow angular spread -- it is a "bright" source
Likewise, we would like to use “bright” sources for x-rays (and ultraviolet light)
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Why x-rays and ultraviolet?
Wave-length
(Å)
0.1
10
1000
Photonenergy(eV)
10000
1000
100
10
Coreelectrons
Valenceelectrons
Chemical bond
lengths
Molecules
Proteins
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The “brightness” of a light source:
Flux, FAngular divergence, Ω
Source area, S
FS x Ω
Brightness = constant x _________
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A real synchrotron facility: Swiss Light Source (SLS)
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Objective: building a very bright x-ray source.Solution: relativity!!
Undulator Emitted x-rays
Circulating electrons (speed ≈c)
Ring under vacuum
• The undulator (periodic magnet array) period determines the emitted wavelength. This period is shortened by the relativistic “Lorentz contraction” giving x-ray wavelengths
• The emitted x-rays are “projected ahead” by the motion of their sources (the electrons), and therefore collimated. Relativity enhances the effect
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Heat flux (watt/mm2)
100
10
1
Surface of the sun
Interior of rocket nozzle
Nuclear reactor core
Swiss Light Source (SLS)
ALS, Elettra, SRRC, PAL
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The historical growth in brightness/brilliance(units: photons/mm2/s/mrad2, 0.1% bandwidth)
1021
1015
109
1900 1950 2000
Wigglers
Bendingmagnets
SLS
Rotatinganode
SLS (Swiss Light
Source)
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Objective: building a very bright x-ray sourceDetails of the solution:
Undulator (periodic B-field,
period L ≈ centimeters
electron In the electron reference frame:• Periodic B-field → periodic B & E-fields
moving at speed ≈c, similar to electromagnetic wave
• Lorentz contraction: L → L/γ• Undulation of electron trajectory →
emission of waves with wavelength L/γ
Speed ≈ c
In the laboratory frame:• Doppler effect → wavelength further reduced by a factor
of ≈2γ, changing from L/γ to L/2γ2
Overall: L → L/2γ2
Centimeters → 0.1-1,000 Å (x-rays, UV)
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What causes the high brightness?
• Free electrons can emit more light than bound electrons ⇒ high flux• The electron beam control is very sophisticated: small transverse
beam cross section ⇒ small synchrotron source size• Relativity collimates the emitted synchrotron radiation:
emitted x-ray
θ
Electron reference
framecx = dx/dt
cy = dy/dt
tn(θ) ≈ (cy/cx)
Laboratory frame
cx’ = dx’/dt’
cy’ = dy’/dt’electron velocity
Lorentz transformation: γ-factor for x’ and t’ but not for y’ ⇒ tn(θ) reduced by a factor ≈1/γ
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3 types of sources:
detectorcontinuously illuminated
1. Undulators: smallundulations
detector
time
longsignal pulse
frequency
hν/∆hν≈ N
narrow hν-band
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3 types of sources:
2. Bending magnets:
shortsignal pulse
broadhν-band
time frequency
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3 types of sources:
3. Wigglers: largeundulations
broadhν-band
frequency
Series of short
pulses
time
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3 types of sources - summary:
Undulators:
time frequency
More intensity than bending
magnetsWigglers:
frequencytime
Bending magnets:
time frequency
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Undulator emission spectrum:
L = period
Central wavelength: L/2γ2
First correction: out of axis, the Doppler factor is not 2γ2 but changes with θ’Central wavelength: (L/2γ2)/(1+ 2γ2θ’2)
θ’
Second correction: higher B-field means stronger undulations and less on-axis electron speed. This changes γ so that:Central wavelength: (L/2γ2)/(1+ aB2)
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Bending magnet emission spectrum:The (relativistic) rotation frequency of the electron determines the (Doppler-shifted) central wavelength: λo = (1/2γ2)(2πcmo/e)(1/B)
The “sweep time” δt of the emitted light cone determines the frequency spread δν and the wavelength bandwidth:∆λ / λo = 1
A peak centered at λcwith width ∆λ: is this really the well-known synchrotron spectrum?YES -- see the log-log plot:
λλ0
∆λ
log(λ)
λo
log(
emis
sion
)
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Synchrotron light polarization:Electron in a storage ring:
TOP VIEW
TIL TED VIEW
SIDE VIEW
Polarization:Linear in the
plane of the ring, elliptical out of
the plane
Special (elliptical) wigglers and undulators can provide ellipticaly polarized light with high intensity
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synchrotronradiation
atom ormolecule
scattered photons, fluorescence
small-angle scattering
fluorescence spectroscopy
photoelectrons, Auger electrons photoelectron/Auger
spectroscopy
transmitted photons
absorption spectroscopy
EXAFS
molecularfragments
fragmentation spectroscopy
solidscattered photons scattering
photoelectrons, Auger electronsphotoelectron/Auger spectroscopy
transmitted photons
absorption spectroscopy
EXAFS
fluorescence spectroscopyfluorescence
diffracted photons X-graphy
Atoms & molecules desorption spectroscopy
Synchrotron x-rays:Many different interactions
↓Many different applications
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European Integrating Initiative on Synchrotron Radiation and Free Electron Laser Science
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Synchrotron Facilitiesin the World (2005):
TOTAL: 72 in 24 Countries62 Operating10 under construction
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Historical GrowthWorldwide ISI data 1968-2006, Keyword: “synchrotron”
0
5000
10000
15000
20000
25000
30000
1968 1978 1988 1998 2008
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… and, for a broader picture:
Hits from a Google search:“Synchrotron” 5,540,000“Free electron laser” 3,020,000“Cyclotron” 1,850,000“LINAC” 1,860,000“Hadron collider” 730,000
“Protein crystallography” 1,890,000“Synchrotron photoemission” 176’000
“Viagra” 9’640’000“Pamela Anderson” 14,200’000
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Photoelectron spectroscopy: basic ideas
Formation of chemical bonds:atom solid
elec
tron
ener
gyThe photon absorption
increases the electron energy by hν before ejection of the
electron from the solid
elec
tron
ener
gy
hνPhoton(hν)
Photoelectron
Photoelectric effect:
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Photoelectron spectroscopy ofhigh-temperature superconductivity:
elec
tron
s
energy
normal state
super-conducting state
The limited energy resolution of conventional photoemission makes it impossible to observe the phenomenon
-0.2 -0.1 0Energy (eV)
High-resolution spectra taken with
ultrabright synchrotron
radiation
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Superconducting gap spectroscopy:
Different gaps in different directions (d-wave superconductivity) (Kelly, Onellion et al.
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From spectroscopy to spectromicroscopy:
Spectroscopy (energy and momentum
resolution)
Microscopy (spatial resolution)
Chemical information
Spectromicroscopy
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The two modes of photoemission spectromicroscopy:
SCANNING ELECTRON IMAGING
X-rays
X-ray lenssample
e
x-y scanning stage
Electron analyzer
X-rays
Electron optics
e
sample
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The ESCA Microscopy Beamline at ELETTRA
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Photoelectron spectromicroscopy (on untreated specimens) beats optical
microscopy + staining in revealing cell nuclei(B. Gilbert , M. Neumann , S. Steen , D. Gabel , R. Andres, P. Perfetti, G.
Margaritondo and Gelsomina De Stasio)
The distribution of nuclei in human glioblastoma tissue, revealed (left) bystaining for optical microscopy and (right) by a MEPHISTO phosphorusmap on ashed tissue (phosphorus is shown dark). The MEPHISTO sectionon gold had no treatment other than ashing. The imaged areas are in adjacenttissue sections, so the exact pattern of nuclei distributions is not identical.
20µm
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Coherence: “the property that enables a wave to produce visible diffraction and interference
effects”
fluorescent screen
screen with pinhole
θsource
(∆λ)
ξ
Example:
The diffraction pattern may or may not be visible on the fluorescent screen depending on the source size ξ, on its angular divergence θ and on its wavelength bandwidth ∆λ
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Longitudinal (time) coherence:
source (∆λ)
• Condition to see the pattern: ∆λ/λ < 1• Parameter characterizing the longitudinal coherence:
“coherence length”: Lc = λ2/∆λ• Condition of longitudinal coherence: Lc > λ
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Lateral (space) coherence — analyzed with a source formed by two point sources:
• Two point sources produce overlapping patterns: diffraction effects are no longer visible.
• However, if the two source are close to each other an overall diffraction pattern may still be visible: the condition is to have a large “coherent power” (2λ/ξθ)2
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Coherence — summary:• Large coherence length Lc = λ2/∆λ• Large coherent power (2λ/ξθ)2
•Both difficult to achieve for small wavelengths (x-rays)
•The conditions for large coherent power are equivalent to the geometricconditions for high brightness
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Some Problems in Conventional Radiology:
Low-intensity, divergent beam
Low absorption Limited contrast,
may require a high x-
ray dose
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Light-matter Interactions:
Absorption -- described by the absorption coefficient α
Refraction (and diffraction/interference) --described by the refractive index n
For over one century, radiology was based on absorption: why not on refraction /diffraction?
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Conventional radiology
Refractive-index radiology
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“Refraction” x-ray imaging:
Edge between regions with different n-values
detector Detectedintensity
Idealized edge image
Real example (leaf)
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“Refraction” x-ray imaging --potential advantages over
absorption:
• Differences between object and vacuum: small in both cases, but larger for n than for α
• This advantages increases as the wavelength decreases
• Better edge visibility, better contrast, smaller dose
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Examples of “refraction” radiology:
X-rays images of a 0.5 mm live microfish
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Building on bubbles (zinc electrodeposition):
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Localized Electrochemical Deposition (LECD): a novel technique for growing high-aspect-ratio nanostructures:
Below a “critical” value of the microelectrode-structure distance, the growth rate
increases dramatically but the grown microstructure
becomes porous
This effect depends on the applied voltage
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Cells in a leaf skin
Coherent x-ray micrographs of cells
Neurons from a mouse brain
Cultured fibroblast cells from a rabbit bone
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Opening of a “stoma”
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A bit more sophisticated description
Coherent* source
In the actual image, each edge is marked by fringes produced by Fresnel edge
diffraction. The fringes enhance the edge and
carry holographic information
Object
Detector
* Small &collimated
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Modeling: interplay of “refraction” and “diffraction”
Refraction radiographs
Diffraction radiographs
Note: with bending-magnet emission, the effects are only in the vertical direction (no space coherence in the horizontal direction)
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Coherent x-ray tomography:
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Phase contrast microtomography:
microfossil
Li Chai Wei, Yeukuang Hwu, Jung Ho Je et al.
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Phase contrast micro-tomography: rat kidney
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Yeukuang Hwu, Jung Ho Je et al.
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Phase contrast micro-tomography: rat aorta
Yeukuang Hwu, Jung Ho Je et al.
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New types of sources:• Ultrabright storage rings (SLS, new
Grenoble project) approaching the diffraction limit
• Self-amplified spontaneous emission (SASE) X-ray free electron lasers
• VUV FEL’s (such as CLIO)• Energy-recovery machines • Inverse-Compton-scattering table-top
sources
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Take a standard photon source with limited brightness and no
lateral coherence …… with a pinhole (size ξ), we can extract coherent light with good
geometrical characteristics (at the cost of losing most of the
emission)ξ
However, if the pinhole size is too small diffraction effects increase the beam
divergence so that:
ξθ >λθ
No source geometry beats this diffraction limit
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Infraredphoton hν
Electron,energy = γ
γ’ ≈ γX-rayphoton hν’
Doppler effect: in the electron beam frame, the photon energy ≈ 2γ hν.This is also the energy of the backscattered photon in the electron-beam frame.
In the laboratory frame, there is again a Doppler shift with a 2γ factor, thus:
hν' ≈ 4γ2 hν
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Energy-recovery LINAC sources
The brightness depends on the geometry of the source, i.e., of the electron beam
In a storage ring, the electrons continuously emit photons.
This “warms up” the electron beam and negatively affects its
geometry
Controlling the electron beam geometry is much easier in a linear accelerator (LINAC). Thus, LINAC sources can reach higher brightness levels
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Energy-recovery LINAC sources
However, contrary to the electrons in a storage ring, the electrons in a LINAC produce photons only once: the power cost is too high
Solution: recovering energy
Accelerating section
Energy-recovery section
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Example: Kulipanov’s “super-microtron” ER LINAC
Wiggler
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THE “4 GLS” CONCEPT AT DARESBURY
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Free-electron lasers:
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Free-electron laser surgery:
Wavelength selection → much less collateral damage:
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The scanning near-field opticalmicroscope (SNOM): like the stethoscope
Heart:Frequency ≈ 30-100 HzWavelength λ ≈ 102 m
Accuracy in localization ≈ 10 cm ≈ λ /1000
Small aperture
Small distance
Coated small-tip
optics fiber
Microscopic light-emitting object
SNOM resolution: well below the “diffraction limit” of standard microscopy (≈ λ)
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∆y ∆ky > 2π → ∆y > 2π/∆ky
∆ky < ky = √(k2 - kx2)
kx real → ∆ky < k = 2π/λ
∆y > λ(diffraction limit)
SNOM: why does it work? Consider two slits:
x
y
Wave, k = 2π/λ
After a narrow optics fiber tip, there is an “evanescent wave” with imaginary in the
x-direction kx
However, for kx imaginary the condition does not apply and
∆y < λbecomes possible
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20x20 µm2 SNOM image of growth medium (A. Cricenti et al.):
SNOM topography
S-O & N-Ovibrations
(λ = 6.95 µm)
λ = 6.6 µm
Intensity line scan
Resolution≈ 0.15 µm << λ
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Self-amplified spontaneous emission x-ray free-electron lasers (SASE X-FEL’s)
Normal (visible, IR, UV) lasers:optical amplification in amplifying mediumplus optical cavity (two mirrors)
X-ray lasers: no mirrors → no optical cavity →need for one-pass high optical amplification
SASE strategy:
LINAC (linear accelerator)
Wigglerelectron bunch
The microbunching increases the electron density and the amplification and creates very short pulses
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Seeding-Amplifier X-FELs
Electron BeamElectron Beam
Bypass
First Wiggler(SASE Emitter)
Second Wiggler (Amplifier)
Monochromator
Electron Dump
Photon Beam
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First Real Experiments at the TESLA X-FEL’s
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SASE X-FEL’s: superbright (orders of magnitude more than present sources) femtosecond pulses:
• New chemistry?• One-shot crystallography
(no crystals)?• Total coherence• Unprecedented
electromagnetic energy density
• Is this “vacuum”?
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New physics?Consider the parameters of the Swiss Light Source:
Circumference: 288 m Single Bunch Current: 10-4 ABunch Length: 4 x 10-3 m Electron speed ≈ c ≈ 3.3 x 108 108 m/s
The charge per bunch is 10-4 x 288/(3 x 108) ≈ 10-8 coulomb, corresponding to 6 ∞ 1010 electrons.The horizontal bunch size is < 2 x 10-5. Assuming 0.1% coupling, the bunch volume is < 1.6 x 10-15 m3. Thus, the electron density exceeds 4 x 1019 cm-3.
What is this: a gas of independent electrons? Or a correlated multi-particle system?
What kind of thermodynamics should we use? The covalent form of thermodynamics is still an open issue!
For example: T can be defined using the entropy law or the equipartition principle. The two definitions are equivalent in classical physics, but in relativity they lead to different Lorentz transformations of T!
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Conclusions:1. The technology of storage rings and FEL's solved the
ancient problem of brightness.2. The brightness increase was so rapid that applications
are still trailing behind.3. Nevertheless, many exciting results were obtained, for
example in spectromicroscopy and high resolution spectroscopy.
4. The most important new achievements will be linked to the interdisciplinary use of photon sources — exporting physics and chemistry techniques to medical research and the life sciences in general.
5. Coherence-based applications will play a special role.6. New FEL's like the SASE machines are beyond
imagination: towards one-shot crystallography?
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Thanks:• The EPFL colleagues (Marco Grioni, Davor
Pavuna, Laszlo Forro Mike Abrecht, Amela Groso, Luca Perfetti, Eva Stefanekova, Slobodan Mitrovic, Dusan Vobornik, Helmuth Berger, Daniel Ariosa...).
• The POSTECH colleagues (group of Jung Ho Je).• The Academia Sinica Taiwan colleagues (group of
Yeukuang Hwu).• The Vanderbilt colleagues (group of Norman Tolk).• The ISM-Frascati colleagues (groups of Antonio
Cricenti and Paolo Perfetti)• The facilities: PAL-Korea, Elettra-Trieste.
Vanderbilt FEL, SRRC-Taiwan, APS-Argonne, SLS-Villigen, LURE-Orsay
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• In 1905, Albert Einstein published his landmark articles about relativity, the photon (and the photoelectric effect) and the Brownian motion (demonstration of the existence of atoms and molecules)
• In our research, we use relativity to produce x-rays (photons) and use them, for example performing experiments with the photoelectric effect, to study solids, atoms and molecules
• HAPPY 2005!!!
A final remark: